2. Cs
Cl
Cesium Chloride (CsCl): A simple cubic Lattice with a Basis
Basis:
Cs at[0, 0, 0] (i.e., on the simple cubic)
Cl at [½, ½, ½] (i.e., in the middle of each cube)
3. CsCl =Simple Cubic
with Basis
Cs at [0, 0, 0]
Cl at [½, ½, ½]
Cs = Simple Cubic
with Basis
= BCC
Cs at [0, 0, 0]
Cs at [½, ½, ½]
4. Na forms FCC lattice.
Cl is displaced (1/2,1/2,1/2) from each Na
17. Three of the 8 possible families of lattice planes in the {111} class.
Three of the 8 possible families of lattice planes in the {111} class.
All of these faces show the same spacing between lattice planes.
In a powder experiment all of these scatter at the same angle
Intensity of scattering is weighted by the multiplicity
18. {hkl} N=h2+k2+l2 P I F
100 1 *
110 2 * *
111 3 * *
200 4 * * *
210 5 *
211 6 * *
--- 7
220 8 * * *
P = Primitive (simple) cubic All hkl
I = BCC h+k+l = even
F= FCC h,k,l all even or all odd
Scattering
Selection Rules
Multiplicity
6
12
8
6
24
24
--
12
220 8 * * *
221 , 300 9 *
310 10 * *
311 11 * *
222 12 * * *
320 13 *
321 14 * *
--- 15
400 16 * * *
P: 1,2,3,4,5,6,8,9, ….. (= all integers excluding 7, 15, 23,…)
I : 2,4,6,8,10,12,14 … (= even integers excluding 28, 60…)
F: 3,4,8,11,12,16,19,20 ….
Sequence of
N values
12
24+6
24
24
8
24
48
--
6
![Cs
Cl
Cesium Chloride (CsCl): A simple cubic Lattice with a Basis
Basis:
Cs at[0, 0, 0] (i.e., on the simple cubic)
Cl at [½, ½, ½] (i.e., in the middle of each cube)](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)